Y=-3x - 4
y= 2x + 1

Answers

Answer 1

Answer: $\left \{ {{y=-3x-4} \atop {y=2x+1}} \right. \n\n substitution\ method\n\n-3x-4=2x+1\ \ \ | subtract\ 2x\n\n-5x-4=1\ \ \ | add\ 4\n\n-5x=5\ \ \ | divide\ by\ -5\n\nx=-1\n\ny=2x+1=2*(-1)+1=-2+1=-1\n\nSolution:\n \left \{ {{y=-1} \atop {x=-1}} \right.$

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A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of 50 spins. She computes and graphs the relative frequencies for each number. Which of the following describes the probability distribution?

Answers

The correct answer is:

This should be a uniform distribution.

Explanation:

Each of the sections labeled 1 through 5 would have the same probability of being landed on. This means that their relative frequencies should be nearly, if not exactly, the same.

When graphing this as a bar graph, it would be nearly level across the entire graph. This is called a uniform distribution, since the values are very close to (if not exactly) the same.

The description that best fits the probability distribution of Juana's spinner experiment is Positively Skewed

What happens in a Positively Skewed probability distribution

In a positively skewed probability distribution, also known as a right-skeweddistribution, the majority of the data points cluster towards the lower end of the distribution, while a few larger values extend the tail towards the higher end.

Visually, this creates a longer tail on the right side of the distribution. This as illustrated in the figure

Learn more about probability distribution

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complete question

-Constant

-Symmetric

-Negatively Skewed

-Positively Skewed

Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.

(1 gallon = 231 in3, 1 inch = 2.54 cm)

Answers

$the\ volume\ of\ a\ paint\ tray\ is:\n\n V=10\ in\cdot 12\ in\cdot5\ cm=120\ in^2\ \cdot (5)/(2.54) \ in= (600)/(2.54) \ in^3=\n\n=(600)/(2.54)\cdot (1)/(231) \ gallons= (200)/(2.54\cdot77) \ gallons= (200)/(195.58) \ gallons>1\ gallon\n\nAns.\ Alaine\ fit\ one\ gallon\ of\ paint\ to\ the\ paint\ tray.$

Graph the set of points. Which model is most appropriate for the set? ( -1, 20), (0, 10), (1, 5), (2, 2.5) A. quadratic
B. linear
C. quadratic
D. exponential

Answers

Linear is always the most appropriate when u have points with x and y.
Its the second graph from the left.

David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How many bags of 10 and 8 can david pack the cereal bars into

Answers

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

$8x+10y= 574$ (i)

$x=y+2$ (ii)

Put value of x from (ii) in (i)

$8(y+2)+10y= 574\n\n\Rightarrow\ 8y+16+10y=574\n\n\Rightarrow\ 18y=574-16\n\n\Rightarrow\ 18y=558\n\n\Rightarrow\ y=(558)/(18)\n\n\Rightarrow\ y=18$

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

If mAC=178 degrees, and mBC=42 degrees, what is m angle BDC?

Answers

The measurement of angle BDC is 44 degrees. This can be computed by subtracting 178 degrees from 180 degrees which is 2 degrees. Then using the given mBC which is 42 degrees add this to the 2 degrees which came from the difference computed above. Then it will give us the answer of 44 degrees.

Subtracting 8.263 from 13.48, you obtain A. 5.783.
B. 21.743.
C. 5.217.
D. 6.815.